Spherical f-tilings by scalene triangles and isosceles trapezoids. I
type: Item
instance of: scholarly article
title: Spherical f-tilings by scalene triangles and isosceles trapezoids. I
zbMATH Open document ID: 1203.52015
author: Catarina P. Avelino
author: Altino Manuel Folgado dos Santos
published in: European Journal of Combinatorics
publication date: 2009-06-17T00:00:00Z
review text: A dihedral folding tiling (f-tiling, for short) of the sphere \(S^2\) is polygonal subdivision \(\tau\) of \(S^2\) satisfying the angle folding relation, i.e. each vertex of \(\tau\) is of even valence \(2n\), \(n\geq 2\), and the sums of alternated angles are equal. This investigation is a part of the classification of dihedral f-tilings of \(S^2\), started in 2004. Here, the authors consider all such tilings by scalene triangles and isosceles trapezoids in some cases of adjacency.
reviewed by: Milica Stojanović
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 05B45
zbMATH DE Number: 5565567
zbMATH Keywords: spherical f-tilings
zbMATH Keywords: angle-folding relation
zbMATH Keywords: scalene triangle
zbMATH Keywords: isosceles trapezoid
MaRDI profile type: Publication
full work available at URL: j.ejc.2008.12.021
OpenAlex ID: W2019756244
Wikidata QID: Q61987182
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DOI: 10.1016/J.EJC.2008.12.021
description: scientific article; zbMATH DE number 5565567